Question #6453331Fill in the Blank
Algebra-1
Question
The end behavior of the polynomial as is and as is .
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's understanding of the end behavior of a polynomial function, focusing on the leading term and its coefficient.
This question evaluates the student's understanding of the end behavior of a polynomial function, focusing on the leading term and its coefficient.
Key Concept Explanation
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. For even degrees, both ends of the graph will either go up or down depending on the sign of the leading coefficient.
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. For even degrees, both ends of the graph will either go up or down depending on the sign of the leading coefficient.
Step-by-step Solution
1. Identify the leading term:
2. Determine the degree: 6 (even)
3. Determine the leading coefficient: 5 (positive)
4. Apply the end behavior rules for even degrees and positive leading coefficients:
As ,
1. Identify the leading term:
2. Determine the degree: 6 (even)
3. Determine the leading coefficient: 5 (positive)
4. Apply the end behavior rules for even degrees and positive leading coefficients:
As ,
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